Optical device with lenticular arrays, edge-type backlight module and direct-type backlight module
Abstract
An edge-type backlight module and a direct-type backlight module with a optical device are provided. The optical device comprises an array layer and a second refractive layer. The array layer has a first refractive index (n 1 ) and contains pluralities of lenticular lens disposed on a base surface side by side. The lenticular lens contains a curving structure with a peak, a trough, a curvature radius (R), a width (P) and an altitude (H) between the peak and the trough. The trough is disposed on the base1 surface. The array layer has a first critical angle (θ 1c ) relative to the normal of the base surface and satisfies θ 1 c = sin - 1 ( 1 n 1 ) and H = R 1 + K [ 1 - 1 - ( 1 + K ) ( P 2 R ) 2 ] . The conical constant (K) of the lenticular lens ranges from −2.1 to −1.5. The second refractive layer is adjacent to the array layer and has a second refractive index (n 2 ) and a second critical angle (θ 2c ) relative to the normal line of the second refractive layer. The first refractive index (n 1 ) is greater than the second refractive index (n 2 ) and θ 2 c = sin - 1 ( n 2 n 1 ) is satisfied. Wherein the lenticular lens, the first critical angle (θ 1c ) and the second critical angle (θ 2c ) satisfy the equation of sin - 1 ( 1 n 1 ) ≤ cot - 1 ( H P / 2 ) < sin - 1 ( n 2 n 1 ) .
Claims
exact text as granted — not AI-modifiedWe claim:
1. An optical device with lenticular arrays, comprising:
an array layer having a first refractive index (n 1 ) and comprising pluralities of lenticular lenses disposed on a base surface side by side, each of the lenticular lenses containing a curving structure with a peak, a trough, a curvature radius (R), a width (P) and an altitude (H) between the peak and the trough, the trough being disposed on the base surface, the array layer having a first critical angle (θ 1c ) relative to the normal line of the base surface and satisfying
θ
1
c
=
sin
-
1
(
1
n
1
)
and
H
=
R
1
+
K
[
1
-
1
-
(
1
+
K
)
(
P
2
R
)
2
]
,
the conical constant (K) of the lenticular lens ranging from −2.1 to −1.5;
a second refractive layer being adjacent to the array layer and having a second refractive index (n 2 ) and a second critical angle (θ 2c ) relative to the normal line of the second refractive layer, the first refractive index (n 1 ) being greater than the second refractive index (n 2 ) and
θ
2
c
=
sin
-
1
(
n
2
n
1
)
being satisfied;
wherein the lenticular lens, the first critical angle (θ 1c ) and the second critical angle (θ 2c ) satisfy the equation of
sin
-
1
(
1
n
1
)
≤
cot
-
1
(
H
P
/
2
)
<
sin
-
1
(
n
2
n
1
)
.
2. The optical device with lenticular arrays as claim 1 , wherein a first thickness (t 1 ) ranges from the base surface to the interface between the array layer and the second refractive layer, and the second refractive layer has a second thickness (t 2 ), in which the value of t 2 /t 1 ranges from 0.035 to 0.084.
3. The optical device with lenticular arrays as claim 1 , wherein the conical constant (K) of the lenticular lens ranges from −2 to −1.65.
4. The optical device with lenticular arrays as claim 1 , wherein the value of H/P ranges from 0.42 to 0.498.
5. The optical device with lenticular arrays as claim 1 , wherein the array layer is expanded to 2-Dimension.
6. The optical device with lenticular arrays as claim 1 , wherein the array layer is expanded to 3-Dimension.
7. The optical device with lenticular arrays as claim 1 , wherein the optical device further comprises a third refractive layer with a third refractive index (n 3 ), in which n 3 is smaller than n 1 and n 2 .
8. The optical device with lenticular arrays as claim 1 , wherein the material of the array layer or the second refractive layer is polyethylene terephthalate (PET), polycarbonate (PC), tri-acetyl cellulose (TAC), polymethylmethacrylate (PMMA), methylmethacrylate styrene, polystyrene (PS) or cyclic olefin copolymer (COC).
9. An edge-type backlight module for transmitting an incident light, a first optical path and a second optical path, comprising:
a light source for emitting the incident light;
a light guide plate disposed at one side of the light source and receiving the incident light and transmitting the optical path;
a reflective plate disposed at beneath of the light guide plate;
an optical device with lenticular arrays disposed above the light guide plate to receive optical path, and having an array layer containing a first refractive index (n 1 ) and comprising pluralities of lenticular lenses disposed on a base surface side by side, each of the lenticular lenses containing a curving structure with a peak, a trough, a curvature radius (R), a width (P) and an altitude (H) between the peak and the trough, the trough being disposed on the base surface, the array layer having a first critical angle (θ 1c ) relative to the normal line of the base surface and satisfying
θ
1
c
=
sin
-
1
(
1
n
1
)
and
H
=
R
1
+
K
[
1
-
1
-
(
1
+
K
)
(
P
2
R
)
2
]
,
the conical constant (K) of the lenticular lens ranging from −2.1 to −1.5;
a second refractive layer being adjacent to the array layer and having a second refractive index (n 2 ) and a second critical angle (θ 2c ) relative to the normal line of the second refractive layer, the first refractive index (n 1 ) being greater than the second refractive index (n 2 ) and
θ
2
c
=
sin
-
1
(
n
2
n
1
)
being satisfied;
wherein the lenticular lens, the first critical angle (θ 1c ) and the second critical angle (θ 2c ) satisfy the equation of
sin
-
1
(
1
n
1
)
≤
cot
-
1
(
H
P
/
2
)
<
sin
-
1
(
n
2
n
1
)
,
and the first optical path is modified by means of the first critical angle (θ 1c ) and the second critical angle (θ 2c ) so that the second optical path and total reflection to the reflective plate are generated.
10. A direct-type backlight module for transmitting a incident light, a first optical path and a second optical path, comprising:
a light source for emitting the incident light;
a reflective plate disposed at beneath of the light source;
a diffusive plate disposed above the light source and receiving the incident light and transmitting the optical path;
an optical device with lenticular arrays disposing above the diffusive plate to receive optical path, and having an array layer containing a first refractive index (n 1 ) and comprising pluralities of lenticular lenses disposed on a base surface side by side, each of the lenticular lenses containing a curving structure with a peak, a trough, a curvature radius (R), a width (P) and an altitude (H) between the peak and the trough, the trough being disposed on the base surface, the array layer having a first critical angle (θ 1c ) relative to the normal line of the base surface and satisfying
θ
1
c
=
sin
-
1
(
1
n
1
)
and
H
=
R
1
+
K
[
1
-
1
-
(
1
+
K
)
(
P
2
R
)
2
]
,
the conical constant (K) of the lenticular lens ranging from −2.1 to −1.5;
a second refractive layer being adjacent to the array layer and having a second refractive index (n 2 ) and a second critical angle (θ 2c ) relative to the normal line of the second refractive layer, the first refractive index (n 1 ) being greater than the second refractive index (n 2 ) and
θ
2
c
=
sin
-
1
(
n
2
n
1
)
being satisfied;
wherein the lenticular lens, the first critical angle (θ 1c ) and the second critical angle (θ 2c ) satisfy the equation of
sin
-
1
(
1
n
1
)
≤
cot
-
1
(
H
P
/
2
)
<
sin
-
1
(
n
2
n
1
)
,
and the first optical path is modified by means of the first critical angle (θ 1c ) and the second critical angle (θ 2c ) so that the second optical path and total reflection to the reflective plate are generated.Cited by (0)
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